Here is the full list of all 40 Crysis Remastered achievements. It takes around 8-10 hours to unlock all of the achievements on Windows.
Reach the end of 'Onslaught' in the tank you started with
Customize a weapon to use all 5 modification points
Kill an enemy 200m away
Kill 10 enemies by throwing an object at them
Complete 'Core', 'Paradise Lost', 'Exodus' and 'Reckoning' on Delta difficulty
Complete the game on any difficulty
Complete the game on Hard or Delta difficulty
Secure victory in the Battle of Lingshan
Defeat the flight deck invader
Complete all Secondary Objectives
Help the marines evacuate
Escort Prophet to safety
Escape the mysterious structure under the mountain
Kill 400 enemies
Complete 'Assault', 'Onslaught' and 'Awakening' on Delta difficulty
Defeat General Kyong
Enter the mines
Proceed to the mining complex
Perform a kill with every firearm
Complete 6 Secondary Objectives
Secure the train station
Destroy 5 enemy tanks
Destroy the cruiser
Destroy all AA guns around the harbor
Destroy 5 helicopters
Board the VTOL for extraction
Complete 'Contact', 'Recovery' and 'Relic' on Delta difficulty
Kill an enemy Nanosuit soldier with a Strength punch
Infiltrate the excavation site
Kill 200 enemies
Complete 3 Secondary Objectives
Regroup with Prophet upriver
Rescue the hostage
Kill 20 enemies with grab
Discover the fate of the Lusca's Call
Speed sprint 3km
Tag 30 enemies using the binoculars
Perform 5 consecutive kills without being spotted by an enemy
Use all weapon attachments
Pick up an animal